标题： 结构光与超导体中的感应涡旋 II：采用拉盖尔-高斯光束的量子打印 显示英文标题

标题： Structured light and induced vorticity in superconductors II: Quantum Print with Laguerre-Gaussian beam

摘要： 通过光控制物质的量子态的挑战一直是驱动量子物质现代研究的前沿。 我们探讨了结构光对超导体的印记效应，展示了光的量子数——特别是自旋角动量、轨道角动量和径向序数——如何被传递到超导序参量并控制涡旋动力学。 使用拉盖尔-高斯光束，我们表明通过调节光的量子数和电场的振幅，可以操控多种涡旋行为，包括呼吸涡旋对、编织涡旋对、涡旋液滴、超涡旋和旋转的二维涡旋环。 在特定的量子数下，更复杂的涡旋簇结构，如涡旋片状结构，以及驻波运动也会出现。 这些结果展示了通过结构光控制超导涡旋运动和相结构的能力，为量子流体和超导态的光控提供了潜在应用。 我们的发现提出了一种图示，将光的量子数与产生的超导涡旋行为联系起来，突显了光将其对称性传递给超导凝聚态的能力。 我们指出，这种方法代表了通过电子相干态的光量子印刷的延伸。 显示英文摘要

摘要： Challenge to control the quantum states of matter via light have been at the forefront of modern research on driven quantum matter. We explore the imprinting effects of structured light on superconductors, demonstrating how the quantum numbers of light-specifically spin angular momentum, orbital angular momentum, and radial order-can be transferred to the superconducting order parameter and control vortex dynamics. Using Laguerre-Gaussian beams, we show that by tuning the quantum numbers and the amplitude of the electric field, it is possible to manipulate a variety of vortex behaviors, including breathing vortex pairs, braiding vortex pairs, vortex droplets, supervortices, and swirling 2D vortex rings. More complex structure of vortex-clusters, such as vortex-flake structures, and standing wave motions, also emerge under specific quantum numbers. These results demonstrate the ability to control SC vortex motion and phase structures through structured light, offering potential applications in quantum fluids and optical control of superconducting states. Our findings present a diagram that links light's quantum numbers to the resulting SC vortex behaviors, highlighting the capacity of light to transfer its symmetry onto superconducting condensates. We point that this approach represents the extension of the printing to quantum printing by light in a coherent state of electrons.